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Combine $\frac{1}{\cos\left(x\right)}+1$ in a single fraction
Learn how to solve differential calculus problems step by step online.
$\frac{\sin\left(x\right)+\frac{\sin\left(x\right)}{\cos\left(x\right)}}{\frac{1+\cos\left(x\right)}{\cos\left(x\right)}}$
Learn how to solve differential calculus problems step by step online. Simplify the trigonometric expression (sin(x)+sin(x)/cos(x))/(1/cos(x)+1). Combine \frac{1}{\cos\left(x\right)}+1 in a single fraction. Apply the trigonometric identity: \frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}=\tan\left(\theta \right). Divide fractions \frac{\sin\left(x\right)+\tan\left(x\right)}{\frac{1+\cos\left(x\right)}{\cos\left(x\right)}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Multiply the single term \cos\left(x\right) by each term of the polynomial \left(\sin\left(x\right)+\tan\left(x\right)\right).